The Laws of Thermodynamics

1. A 10.0 cm radius piston compresses a gas isothermally from a height of 15.0 cm to 2.50 cm at a constant pressure of 2.0 atm. 
2. Sketch a PV diagram for the following process:
   1. A 2.0 L gas undergoes an isovolumetric increase in pressure from 1.0 atm to 2.0 atm
   2. An isothermal compression from 2.0 atm and 2.0 L to 1.0 atm and 1.0 L
   3. An isobaric compression from 2.0 L to 1.0 L
3. An ideal gas expands at a constant total pressure of 2.5 atm
   from 3.45 L to 6.70 L. Heat then flows out of the gas at constant
   volume, and the pressure and temperature are allowed to drop until the
   temperature reaches its original value. Calculate:
   1. the total work done by the gas in the process
   2. the total heat flow into the gas. 
4.  Heat flows into an ideal gas at a constant volume. The pressure
   increases from 1.5 atm to 5.5 atm. Next the gas is compressed at
   constant pressure from 5.0 L to 2.5 L and goes back to its original
   temperature.
   1. What is the total work done on the gas in the process?
   2. What is the total change in internal energy?
   3. What is the total heat flow of the process?